GCD of 68, 189, 591, 351 Calculator

Given Input numbers are 68, 189, 591, 351

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 68, 189, 591, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 189, 591, 351 is 1.

Therefore, GCD of numbers 68, 189, 591, 351 is 1

Given Input Data is 68, 189, 591, 351

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 591 is 3 x 197

Prime Factorization of 351 is 3 x 3 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(68, 189) = 12852

GCD(68, 189) = ( 68 x 189 ) / 12852

GCD(68, 189) = 12852 / 12852

GCD(68, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 591

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

GCD(1, 591) = 591 / 591

GCD(1, 591) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 68, 189, 591, 351 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 801, 479, 905
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• GCD of 31, 291, 977, 893

1. What is the GCD of 68, 189, 591, 351?

GCD of 68, 189, 591, 351 is 1

2. Where do I get the detailed procedure to find GCD of 68, 189, 591, 351?

You can find a detailed procedure to find GCD of 68, 189, 591, 351 on our page.

3. How to find GCD of 68, 189, 591, 351 on a calculator?

You can find the GCD of 68, 189, 591, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.